Blow-up for a degenerate and singular parabolic equation with a nonlocal source

被引：1

作者：

Sukwong, Nitithorn ^{[1
]}

Sawangtong, Panumart ^{[1
,3
]}

Koonprasert, Sanoe ^{[1
]}

Sawangtong, Wannika ^{[2
,3
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok, Thailand

[2] Mahidol Univ, Dept Math, Fac Sci, Bangkok, Thailand

[3] Minist Educ, Commiss Higher Educ, PERDO, Ctr Excellence Math, Bangkok, Thailand

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Degenerate and singular parabolic equations; Nonlocal source; Blow-up set; Uniform blow-up profile; GLOBAL EXISTENCE; BEHAVIOR; BOUNDARY;

D O I：

10.1186/s13662-019-2219-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of the solution when time converges to the blow-up time is studied.

引用

页数：15

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